Writing Equations of Lines

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

What does 'm' represent in the equation y = mx + b?

Back

'm' represents the slope of the line.

Front

What does 'b' represent in the equation y = mx + b?

Back

'b' represents the y-intercept of the line.

Front

Write the equation of a line with slope -2 and y-intercept 3.

Back

y = -2x + 3.

Front

If a line passes through the point (4, 5) and has a slope of 1, what is the equation of the line?

Back

y = x + 1.

Front

What is the y-intercept of the line represented by the equation y = 4x - 7?

Back

The y-intercept is -7.

Front

How do you convert the equation 2x + 3y = 6 into slope-intercept form?

Back

Rearranging gives y = -2/3x + 2.

Front

What is the slope of the line represented by the equation y = 5x + 1?

Back

The slope is 5.

Front

Write the equation of a line with slope 0 that passes through the point (2, 3).

Back

y = 3.